The first model describes a non-Hermitian FTI with rich topological phase
diagrams and arbitrarily many degenerate edge modes
in the presence of Floquet NHSE [1]}.
Its time-dependent Hamiltonian is \(H(t)=H_{1}\)  for \(t\in [\ell +1/2,\ell +1)\) 
and \(H(t)=H_{2}\)  for \(t\in [\ell ,\ell +1/2)\) , where \(t\)  denotes time,
\(\ell \in \mathbb {Z}\) , and
\(H_{1}= & \sum _{n}J_{2}(i|n+1\rangle \langle n|+{\rm H.c.})\otimes \sigma _{y}\nonumber \\+& \sum _{n}i\lambda (|n\rangle \langle n+1|+{\rm H.c.})\otimes \sigma _{y},\\H_{2}= & \sum _{n}[2\mu |n\rangle \langle n|+J_{1}(|n\rangle \langle n+1|+{\rm H.c.})]\otimes \sigma _{x}\nonumber \\+& \sum _{n}i\lambda (i|n+1\rangle \langle n|+{\rm H.c.})\otimes \sigma _{x}.\) 
